The space of stability conditions on the projective plane

• Chunyi Li ^[1]
  1. [1] University of Edinburgh

     University of Edinburgh

     Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2927-2945
• Idioma: inglés
• DOI: 10.1007/s00029-017-0352-4
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• Resumen

  • The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principal connected component Stab†(P2). We show that Stab†(P2) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for Stab†(P2) and show that Stab†(P2) is contractible.